提出一种实现不同维间估计结果自动配对的二维频率估计算法。首先把二维频率估计问题转化成两个矩阵束的特征值问题。根据矩阵束的特征求出两个矩阵束的公共特征向量,并以此为基础同时求出两个矩阵束的特征值。算法估计误差与现有算法相近,但解决了现有算法普遍存在的配对难题。
A new algorithm is proposed for 2-dimensional (2D) frequency estimation. The 2D frequency esti- mation problem is firstly transformed to the eigenvalue problem of two matrix pencil pairs. Based on the special structure of the matrix pencil pairs, a common set of eigenvectors of the matrix pencils pairs is obtained, which are applied to simultaneously estimate the frequencies in different dimensions and therefore the pairing difficulty commonly exists in current research is avoided. Simulation results show the with conventional method, but avoid the pairing procedure. method has similar performance